Least Common Multiple of 4096 and 4098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4096 and 4098 the smallest integer that is 8392704 that is divisible by both numbers.

Least Common Multiple (LCM) of 4096 and 4098 is 8392704.

LCM(4096,4098) = 8392704

LCM of 4096 and 4098

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4096 and 4098

LCM of 4096 and 4098 is 8392704

Least common multiple can be found by multiplying the highest exponent prime factors of 4096 and 4098. First we will calculate the prime factors of 4096 and 4098.

Prime Factorization of 4096


2 4096
2 2048
2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 4096 are 2. Prime factorization of 4096 in exponential form is:

4096 = 212

Prime Factorization of 4098


2 4098
3 2049
683 683
1

Prime factors of 4098 are 2, 3,683. Prime factorization of 4098 in exponential form is:

4098 = 21×31×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 4096 and 4098.

LCM(4096,4098) = 212×31×6831
LCM(4096,4098) = 8392704

Factors of 4096

List of positive integer factors of 4096 that divides 4096 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096

Factors of 4098

List of positive integer factors of 4098 that divides 4098 without a remainder.

1, 2, 3, 6, 683, 1366, 2049, 4098

Least Common Multiple of 4096 and 4098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4096 and 4098, than apply into the LCM equation.

GCF(4096,4098) = 2
LCM(4096,4098) = ( 4096 × 4098) / 2
LCM(4096,4098) = 16785408 / 2
LCM(4096,4098) = 8392704

Properties of LCM 4096 and 4098

(i) The LCM of 4098 and 4096 is associative

LCM of 4096 and 4098 = LCM of 4098 and 4096

Related Least Common Multiples of 4096

Related Least Common Multiples of 4098

Frequently Asked Questions on LCM of 4096 and 4098

1. What is the LCM of 4096 and 4098?

Answer: LCM of 4096 and 4098 is 8392704.

2. What are the Factors of 4096?

Answer: Factors of 4096 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096. There are 13 integers that are factors of 4096. The greatest factor of 4096 is 4096.

3. What are the Factors of 4098?

Answer: Factors of 4098 are 1, 2, 3, 6, 683, 1366, 2049, 4098. There are 8 integers that are factors of 4098. The greatest factor of 4098 is 4098.

4. How to Find the LCM of 4096 and 4098?

Answer:

Least Common Multiple of 4096 and 4098 = 8392704

Step 1: Find the prime factorization of 4096

4096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 4098

4098 = 2 x 3 x 683

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 8392704 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 683

Step 4: Therefore, the least common multiple of 4096 and 4098 is 8392704.